Shunt Resistor in Ammeters

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Questions and Answers

What is the main advantage of using a shunt resistor in a moving coil ammeter?

  • It decreases the thermal electromotive force
  • It improves the accuracy of the instrument
  • It increases the current capacity of the instrument (correct)
  • It reduces the internal resistance of the movement

Why is a permanent-magnet moving coil (PMMC) instrument impractical for measuring large currents directly?

  • The resistance of the shunt varies with time
  • The thermal electromotive force with copper is too high
  • The current capacity of the PMMC is too small (correct)
  • The coil cannot carry large currents without excessive temperature rise

What is the relationship between the shunt resistance ($R_{sh}$) and the internal resistance of the movement ($R_m$) in a moving coil ammeter?

  • $R_{sh} = R_m / (I / I_m - 1)$ (correct)
  • $R_{sh} = R_m / (I_m - 1)$
  • $R_{sh} = R_m / (I - I_m)$
  • $R_{sh} = R_m$

Which of the following is NOT a desirable property of a shunt resistor for a moving coil ammeter?

<p>It should have a high thermal electromotive force with copper (B)</p> Signup and view all the answers

What is the purpose of the 'multiplying power of the shunt' ($I/I_m$) in a moving coil ammeter?

<p>It converts the current reading to the actual current being measured (B)</p> Signup and view all the answers

How can the current range of a moving coil ammeter be extended to measure higher currents?

<p>By connecting a shunt resistor in parallel with the instrument movement (A)</p> Signup and view all the answers

What is the main advantage of a moving coil instrument compared to other types of instruments?

<p>Greater sensitivity and precision (B)</p> Signup and view all the answers

Which of the following equations correctly represents the relationship between the full-scale voltage ($V$), the deflection current ($I_m$), the internal resistance ($R_m$), and the series resistance ($R_s$) for a voltmeter?

<p>$V = I_m (R_s + R_m)$ (A)</p> Signup and view all the answers

What is the purpose of using a shunt resistor in an ammeter?

<p>To increase the range of the instrument (D)</p> Signup and view all the answers

Which of the following equations correctly represents the relationship between the shunt resistance ($R_{sh}$), the internal resistance ($R_m$), and the full-scale deflection current ($I_m$) for an ammeter?

<p>$R_{sh} = R_m / (I_m / (I_m - 1))$ (C)</p> Signup and view all the answers

What is the main disadvantage of using a moving coil instrument for high-voltage measurements?

<p>Requirement of a multiplier resistor (D)</p> Signup and view all the answers

Which of the following equations correctly represents the relationship between the full-scale voltages ($V_1$, $V_2$, $V_3$, $V_4$) and the internal resistance ($R_m$) for a multi-range voltmeter?

<p>$V_2 = V_1 - I_m R_m$, $V_3 = V_2 - I_m R_m$, $V_4 = V_3 - I_m R_m$ (A)</p> Signup and view all the answers

What is the main purpose of the two springs being spiraled in opposite directions in a moving coil instrument?

<p>To neutralize the effects of temperature changes (D)</p> Signup and view all the answers

Which of the following is NOT an advantage of a permanent-magnet type moving coil instrument?

<p>Ability to be modified to cover a wide range of currents and voltages (B)</p> Signup and view all the answers

Which of the following is a disadvantage of permanent-magnet type moving coil instruments compared to moving-iron instruments?

<p>More delicate construction and costlier (B)</p> Signup and view all the answers

What is the main purpose of using a shunt with an ammeter?

<p>To extend the range of the ammeter (A)</p> Signup and view all the answers

Which of the following is NOT a desirable property of a good shunt for an ammeter?

<p>Uniform scale (C)</p> Signup and view all the answers

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Study Notes

Ideal Shunt Characteristics

  • The resistance of a shunt should not vary with time.
  • Shunts should carry current without excessive temperature rise.
  • They should have a thermal electromotive force (EMF) with copper.

Ammeter Shunt

  • A PMMC (Permanent Magnet Moving Coil) is used as the indicating device in an ammeter.
  • The current capacity of a PMMC is small, making it impractical to construct a PMMC coil that can carry a current greater than 100 mA.
  • A shunt is required for measuring large currents in an ammeter.

Shunt Calculation

  • The voltage drop across the shunt (Rsh) and movement (Rm) must be the same.
  • The equation to calculate the shunt resistance (Rsh) is: Rsh = Im * Rm / (I - Im)

Multi-Range Ammeter

  • A multi-range ammeter uses multiple shunts with different multiplying powers (m) to measure different ranges of currents.
  • The shunt resistance for each range is calculated using the equation: Rsh = Rm / (m - 1)

Voltmeter

  • A series resistor or multiplier is required to extend the range of a voltmeter.
  • The equation to calculate the multiplier resistance (Rs) is: Rs = (V - Im * Rm) / Im

Multi-Range Voltmeter

  • A multi-range voltmeter uses multiple multipliers with different multiplying powers (m) to measure different ranges of voltages.
  • The multiplier resistance for each range is calculated using the equation: Rs = Rm * (V - Im * Rm) / Im

Examples

  • Example 1: Calculating the shunt resistance for an ammeter with a full-scale deflection current of 1 mA and an internal resistance of 100 ohms.
  • Example 2: Calculating the series resistance for a voltmeter with a full-scale deflection current of 1 mA and an internal resistance of 100 ohms.
  • Example 3: Calculating the full-scale reading of a PMMC instrument.

PMMC Instrument Advantages

  • They have low power consumption.
  • Their scales are uniform and designed to extend over an arc of 170°.
  • They possess a high (torque/weight) ratio.
  • They can be modified with the help of shunts and resistances to cover a wide range of currents and voltages.
  • They have no hysteresis loss.
  • They have very effective and efficient eddy-current damping.
  • They are not much affected by stray magnetic fields.

PMMC Instrument Disadvantages

  • They are somewhat costlier due to delicate construction and accurate machining and assembly of various parts.
  • Errors set in due to the aging of control springs and the permanent magnets.
  • They are mainly used for DC work only, but can be used for AC measurements with rectifiers or thermo-junctions.

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